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Finding the Third Proportional to 360,334 and 834,075

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Solution

The third proportional to 360,334 and 834,075 is: 1,930,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,334 : 834,075 = 834,075 : x
  2. Step 2: Convert to fraction form
    360,334/834,075 = 834,075/x
  3. Step 3: Cross multiply
    360,334x = 834,075 × 834,075
  4. Step 4: Simplify right side
    360,334x = 695,681,105,625
  5. Step 5: Solve for x
    x = 695,681,105,625/360,334
  6. Step 6: Final answer
    x = 1,930,656.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.